Illustrative Math - Algebra 2 - Unit 2 - Lesson 13 - Teerani Sutthiphansakul | Library

1

The polynomial function B(x)=x^{3}-21x+20 has a known factor of (x-4). Rewrite B(x) as a product of linear factors.

1

Let the function P be defined by P(x)=x^{3}+7x^{2}-26x-72 where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:
How can we tell by looking at the remainder that an error was made somewhere?

1

For the polynomial function A(x)=x^{4}-2x^{3}-21^{2}+22x+40 we know (x-5) is a factor. Select all the other linear factors of A(x).

1

Match the polynomial function with its constant term.

Draggable item		Corresponding Item
P(x)=(x-2)(x-3)(x+7)		-210
P(x)=5(x-2)(x-3)(x+7)		-42
P(x)=\frac{1}{2}(x-2)(x-3)(x+7)		21
P(x)=-5(x-2)(x-3)(x+7)		42
P(x)=(x+2)(x-3)(x+7)		210

1

What are the solutions to the equation (x-2)(x-4)=8?

1

The graph of a polynomial function f is shown. Which statement is true about the end behavior of the polynomial function?

1

This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/13/index.html ; accessed 27/July/2021.

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Illustrative Math - Algebra 2 - Unit 2 - Lesson 13

Illustrative Math - Algebra 2 - Unit 2 - Lesson 13

The polynomial function B(x)=x^{3}-21x+20 has a known factor of (x-4). Rewrite B(x) as a product of linear factors.

Let the function P be defined by P(x)=x^{3}+7x^{2}-26x-72 where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:How can we tell by looking at the remainder that an error was made somewhere?

For the polynomial function A(x)=x^{4}-2x^{3}-21^{2}+22x+40 we know (x-5) is a factor. Select all the other linear factors of A(x).

Match the polynomial function with its constant term.

What are the solutions to the equation (x-2)(x-4)=8?

The graph of a polynomial function f is shown. Which statement is true about the end behavior of the polynomial function?

The polynomial function B(x)=x^{3}-21x+20 has a known factor of (x-4). Rewrite B(x) as a product of linear factors.

Let the function P be defined by P(x)=x^{3}+7x^{2}-26x-72 where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:How can we tell by looking at the remainder that an error was made somewhere?

For the polynomial function A(x)=x^{4}-2x^{3}-21^{2}+22x+40 we know (x-5) is a factor. Select all the other linear factors of A(x).

Match the polynomial function with its constant term.

What are the solutions to the equation (x-2)(x-4)=8?

The graph of a polynomial function f is shown. Which statement is true about the end behavior of the polynomial function?

Let the function P be defined by P(x)=x^{3}+7x^{2}-26x-72 where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:
How can we tell by looking at the remainder that an error was made somewhere?

Let the function P be defined by P(x)=x^{3}+7x^{2}-26x-72 where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:
How can we tell by looking at the remainder that an error was made somewhere?